This math topic focuses on solving systems of linear equations by eliminating variables through the addition or subtraction of multiples of one equation to another. It is intended for beginners learning about algebraic methods to solve for unknown variables in a system of equations. Each problem presents a pair of equations with two variables and asks to simplify them into a single equation by strategically combining them. The aim is to isolate one variable and solve for it, enhancing skills in manipulation of equations and understanding the relationships between variables in linear systems.

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Linear Equation Systems - Simple Addition To Equation Worksheet

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Linear Equation Systems - Simple Addition To Equation
1
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 3n + 10y = 32\\2n - 5y = -2\\n = ?
a A LaTex expression showing 28n = 7
b A LaTex expression showing 7n = 7
c A LaTex expression showing -2n = 32
d A LaTex expression showing 7n = 32
e A LaTex expression showing 28n = 7
f A LaTex expression showing 7n = 28
2
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 6c + 2y = 16\\-3c + 3y = 0\\y = ?
a A LaTex expression showing 0y = 16
b A LaTex expression showing 8y = 8
c A LaTex expression showing 16y = 8
d A LaTex expression showing 2y + 0y - 8 = 16
e A LaTex expression showing 8y = 16
f A LaTex expression showing 16y = 5
3
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 8x + 9p = 110\\-4x + 3p = -10\\p = ?
a A LaTex expression showing 15p = 15
b A LaTex expression showing 90p = 15
c A LaTex expression showing 15p = 110
d A LaTex expression showing 90p = 9
e A LaTex expression showing 15p = 90
f A LaTex expression showing -10p = 110
4
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 10n + 2p = 48\\-5n + 6p = 39\\p = ?
a A LaTex expression showing 126p = 14
b A LaTex expression showing 14p = 48
c A LaTex expression showing 14p = 126
d A LaTex expression showing 14p = 14
e A LaTex expression showing 39p = 48
f A LaTex expression showing 126p = 12
5
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 8n + 3p = 71\\-4n + 6p = 2\\p = ?
a A LaTex expression showing 15p = 75
b A LaTex expression showing 75p = 15
c A LaTex expression showing 15p = 15
d A LaTex expression showing 2p = 71
e A LaTex expression showing 15p = 71
f A LaTex expression showing 75p = 8
6
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 6x + 10n = 92\\-3x + 2n = 10\\n = ?
a A LaTex expression showing 112n = 11
b A LaTex expression showing 14n = 92
c A LaTex expression showing 10n = 92
d A LaTex expression showing 14n = 14
e A LaTex expression showing 112n = 14
f A LaTex expression showing 14n = 112
7
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 2x + 12b = 96\\3x - 4b = -10\\x = ?
a A LaTex expression showing 11x = 11
b A LaTex expression showing 11x = 66
c A LaTex expression showing 11x = 96
d A LaTex expression showing 66x = 11
e A LaTex expression showing 66x = 9
f A LaTex expression showing -10x = 96
8
Add or subtract multiples of the second equation to the first equation to form a single solvable equation
A LaTex expression showing 2y + 6n = 52\\4y - 3n = -16\\y = ?
a A LaTex expression showing 10y = 20
b A LaTex expression showing 10y = 10
c A LaTex expression showing 20y = 10
d A LaTex expression showing 20y = 5
e A LaTex expression showing 10y = 52
f A LaTex expression showing -16y = 52